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The Golden Section
Moravcová, Vlasta ; Šarounová, Alena (advisor)
Title of the master's thesis: The Golden Section Author: Bc. Vlasta Chmelíková Abstract: This text has been written especially as an educational material for secondary school teachers of mathematics and descriptive geometry, however it can be interesting also for students of secondary schools and universities and for another persons interes- ted in problems of the golden section. The thesis includes a calculation and properties of the golden number, several construction methods of the golden section, its occurence and use in plane and solid geometry, history of the golden section and its connections with art, architecture, nature, psychology, etc. In addition, there are added examples from older textbooks and proposals of the jobsheets for improvement of the mathematics lessons.
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Golden section
Novotná, Gabriela ; Zhouf, Jaroslav (advisor) ; Dvořák, Petr (referee)
Golden Section Gabriela Novotná Abstract The first chapters of this thesis deal not only with the history, but also with the present of the golden section. It details the first references on record, describe the beginning of its intuitive and later also intentional usage, designation and terminology, and examines its application into the modern world. It also relates the lives of several personalities, too, above all Euclid, Plato, Leonardo Fibbonacci and Leonardo da Vinci. Then the thesis descibes the theoretical part aspects - expressions of the golden proportion and the golden number, as well as geometrical contructions on the basis of different default parameters. It investiates the golden figures and those which are derived from them and it shows connections between the golden section and Fibonacci numbers. In the following chapters the solid figures related to the golden section are examined. The next part deals with practical application and contains my own research. It analyses the so-called 'magical aspect' of the golden section, i.e. if the figures designed according to this ratio are really the most delightfull and the most appreciated ones. Finally, few specimen exercises for the secondary students are shown.
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The Golden Section
Moravcová, Vlasta ; Šarounová, Alena (advisor)
Title of the master's thesis: The Golden Section Author: Bc. Vlasta Chmelíková Abstract: This text has been written especially as an educational material for secondary school teachers of mathematics and descriptive geometry, however it can be interesting also for students of secondary schools and universities and for another persons interes- ted in problems of the golden section. The thesis includes a calculation and properties of the golden number, several construction methods of the golden section, its occurence and use in plane and solid geometry, history of the golden section and its connections with art, architecture, nature, psychology, etc. In addition, there are added examples from older textbooks and proposals of the jobsheets for improvement of the mathematics lessons.
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Math around us - issue of the Golden section
CUKROVÁ, Jana
Diploma thesis is intended as material for general public. The thesis includes construction methods of the Golden Section and calculation of the Golden Number and its properties. It makes aquainted with the history of the Golden Section and its shows occurrence in a plane geometry. The thesis describes the connection between the Golden Number and the Fibonacci Sequence, occurrence of the Golden Section, Fibonacci Sequnce and the logarithmic spirals in nature in both proportions of living organisms and in plants and on the human body. The text is completed with illustractive figures drawn mostly in GeoGebra. The Golden Number properties and the plane constructions are given. The Golden Section is completed with photos.
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